Emergent Quantum Dynamics of Vortex Line under Linear Local Induction Approximation
Quantum Physics
2020-01-08 v1
Abstract
Using the linear local induction approximation, we investigated the self-induced motion of a vortex line that corresponds to the motion of a particle in quantum mechanics. Concerning Kelvin waves, the effective Schr\"odinger equation, physical quantities operators, and the corresponding path-integral formula are obtained. The vortex line-particle mapping may help in understanding particle motion in quantum mechanics.
Cite
@article{arxiv.1810.01358,
title = {Emergent Quantum Dynamics of Vortex Line under Linear Local Induction Approximation},
author = {Guihao Jia and Yu Xu and Xiao Kong and Cuixian Guo and Silei Liu and Su-Peng Kou},
journal= {arXiv preprint arXiv:1810.01358},
year = {2020}
}